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15_puzzle.js
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/*
@title: 15 puzzle
@tags: ['advanced']
@addedOn: 2022-07-18
@author: maggie
INSTRUCTIONS:
use WASD to move squares next to the empty square.
(for example, S (down) moves the piece above
the empty square onto the empty square)
goal is to end up with the following:
1 2 3 4
5 6 7 8
9 10 11 12
13 14 15
*/
setLegend(
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[ "2", bitmap`
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[ "3", bitmap`
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[ "6", bitmap`
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[ "8", bitmap`
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[ "w", bitmap`
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)
const tiles = ["1", "2", "3", "4", "5", "6", "7", "8", "9", "a", "b", "c", "d", "e", "f", "."]
let empty = {
x: 3,
y: 3
}
// https://stackoverflow.com/a/12646864
const shuffleArray = (array) => {
for (let i = array.length - 1; i > 0; i--) {
const j = Math.floor(Math.random() * (i + 1));
[array[i], array[j]] = [array[j], array[i]];
}
return array
}
let puzzle;
let solvable = false;
// for 15-puzzle with blank on last row, must have even inversions
// https://www.geeksforgeeks.org/check-instance-15-puzzle-solvable/
const isSolvable = (arr) => {
let inversions = 0;
for (let i = 0; i < arr.length; i++) {
for (let j = i + 1; j < arr.length; j++) {
if (arr[i] > arr[j]) {
inversions++;
}
}
}
return inversions % 2 == 0;
}
for (let i = 0; i < 100; i++) {
puzzle = shuffleArray(Array.from({length: 15}, (_, i) => i + 1))
if (isSolvable(puzzle)) {
solvable = true;
break;
}
}
if (!solvable) {
throw new Error("Something went wrong :(")
}
puzzle.push(16);
// console.log(puzzle)
let puzzleIdx = 0;
let mapStr = ""
for (let i = 0; i < 4; i++) {
for (let j = 0; j < 4; j++) {
mapStr += tiles[puzzle[puzzleIdx] - 1]
puzzleIdx++;
}
mapStr += "\n";
}
// console.log(mapStr);
setMap(map`${mapStr}`);
let done = false;
onInput("a", () => {
if (done) return;
if (empty.x === 0) return;
// get tile to left of empty
const t = getTile(empty.x - 1, empty.y)[0];
t.x += 1;
empty.x -= 1;
})
onInput("d", () => {
if (done) return;
if (empty.x === 3) return;
// get tile to right of empty
const t = getTile(empty.x + 1, empty.y)[0];
t.x -= 1;
empty.x += 1;
})
onInput("s", () => {
if (done) return;
if (empty.y === 3) return;
// get tile to bottom of empty
const t = getTile(empty.x, empty.y + 1)[0];
t.y -= 1;
empty.y += 1;
})
onInput("w", () => {
if (done) return;
if (empty.y === 0) return;
// get tile to top of empty
const t = getTile(empty.x, empty.y - 1)[0];
t.y += 1;
empty.y -= 1;
})
const sleep = ms => new Promise(r => setTimeout(r, ms));
afterInput(async () => {
if (done) return;
let tileIdx = 0;
for (let y = 0; y < 4; y++) {
for (let x = 0; x < 4; x++) {
const t = getTile(x, y);
if (t.length && t[0].type != tiles[tileIdx]) {
// console.log("got type", t[0].type)
// console.log('expected', tiles[tileIdx])
return
}
tileIdx++;
}
}
done = true;
await sleep(500);
setMap(map`w`);
})